Diketahui tan M = 8/15 Tentukan nilai sin M dan cos M
Matematika
Chorneliasinee
Pertanyaan
Diketahui tan M = 8/15
Tentukan nilai sin M dan cos M
Tentukan nilai sin M dan cos M
1 Jawaban
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1. Jawaban Drstranger
Tan M = 8/15
1 + tan^2 M = Sec^2 M
1+(8/15)^2 = Sec^2 M
1 + 64/225 = Sec^2 M
Sec^2 = 64+225/225
Sec^2 = 289/225
Sec M= 17/15
*Sin M
Cos M = 1/Sec
Cos M = 1/17/15
Cos M = 1 × 17/15
Cos M = 17/15
*Sin M
Tan M=Sin M/Cos M
8/15 = Sin M/ 17/15
Sin M = 8/15 × 17/15 = 8/17